SDRIS v4.0: High-Resolution Topology - Deriving the Muon Mass and Electroweak Mixing from Prime-Metric Resonance
Maier-Lutz, Jan Patrick · Zenodo (CERN European Organization for Nuclear Research) · 2025
In SDRIS v3.0, we established the macroscopic architecture of the vacuum ($N=5, 11, 19$) using an integer-based dimensional scan. In this paper (v4.0), we increase the resolution of the SDRIS kernel to investigate the sub-harmonic "inter-dimensional" space. By performing a Deep Scan of fractional topologies, we identify the Muon not as a fundamental particle, but as a "Proton Satellite" resonating at $N \approx 10.783$. We further unify mass generation and force mixing by identifying the physical mechanism of Spin Compression. Analogous to planetary oblateness, the intrinsic rotation of the Spin Manifold ($N=2.5$) flattens its geometry relative to the static Hadronic Frame ($N=11$). We derive the electroweak mixing angle as the measure of this tilt: $\sin^2 \theta_W \approx \pi / (11 + 2.5) \approx 0.2327$. Finally, we quantify the resulting "Geometric Defect" as $\Delta N \approx 1.28$. Remarkably, this value corresponds to the mass energy of the Charm Quark ($\approx 1.275$ GeV), suggesting that higher quark generations arise directly from the geometric stress of the electroweak misalignment.